The amount of space rotation is minuscle away from the object and relatively small compared to object spin near the object. It is incorrect to think that space rotates at the same rate as the object. The galaxy surrounding the black hole did not rotate with the black hole.

To answer your original question, if the entire galaxy were to accelerate in a given direction, any object left behind at most would be dragged in the same direction- not the opposite direction.

And to answer your question about my path. Yes. I have found what I have been looking for. I am in heaven. When I die, if ever, I will just go back to work.